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Determination of CKM phases through rigid polygons of flavor SU(3) amplitudes

1995/09/30 by Amol Dighe, Amol S. Dighe
Mathematics · Physics and Astronomy · #Amplitude #Cabibbo–Kobayashi–Maskawa matrix #Mathematical analysis #Mathematics #Meson #Neutrino Physics Research #Octet #Overdetermined system #Particle physics #Particle physics theoretical and experimental studies #Physics #Pseudoscalar #Quantum Chromodynamics and Particle Interactions #Quantum mechanics #Quark #hep-ph

paper · pdf · doi:10.1103/physrevd.54.2067

published as Phys.Rev.D54:2067-2074,1996 · A few detailed explanations added, some rearrangement of sections and a few minor changes in notation. 19 pages, 1 PostScript figure, uses psfig.sty

arxiv created 1996/05/21 · openalex publication_date 1996/08/01 · arxiv updated 2011/06/20 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

Some new methods for the extraction of CKM phases \ensuremathα and \ensuremathγ using flavor SU(3) symmetry are suggested. Rigid polygons are constructed in the complex plane with sides equal to the decay amplitudes of B mesons into two light (charmless) pseudoscalar mesons. These rigid polygons incorporate all the possible amplitude triangles and, being overdetermined, also serve as consistency checks and in estimating the rates of some decay modes. The same techniques also lead to numerous useful amplitude triangles when octet-singlet mixing has been taken into account and nearly physical \ensuremathη, \ensuremathη^\ensuremath' are used.

Citations